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Topics in geometric group theory
2012This document contains results in a couple of nonrelated areas of geometric group theory. What follows are abstracts for each part. Let Mi and Ni be path-connected locally uniquely geodesic metric spaces that are not points and f : ?mi=1Mi ? ?ni=1 Ni be an isometry where ?ni=1 Ni and ?mi=1Mi are given the sup metric.
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Group theory and geometric psychology
Behavioral and Brain Sciences, 2001The commentary is in general agreement with Roger Shepard's view of evolutionary internalization of certain procedural memories, but advocates the use of Lie groups to express the invariances of motion and color perception involved. For categorization, the dialectical pair is suggested. [Barlow; Hecht; Kubovy & Epstein; Schwartz; Shepard; Todorovič]
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Geometric Methods in Group Theory
2005This volume presents articles by speakers and participants in two AMS special sessions, Geometric Group Theory and Geometric Methods in Group Theory, held respectively at Northeastern University (Boston, MA) and at Universidad de Sevilla (Spain).
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GEOMETRIC K-THEORY FOR LIE GROUPS AND FOLIATIONS
2000This paper is a printed version of a preprint circulated in 1982 with some updated remarks and an extensive updated reference list appended at the end. It outlines with some details a geometrically defined \(K\)-theory involving group (or groupoid) actions, and proposes some important hard (and famous since then) conjectures.
Baum, Paul, Connes, Alain
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Group Theory in Geometrical Optics
Japanese Journal of Applied Physics, 1978We show under what conditions the transformations in the paraxial region from the object space to the image space by combination of lenses in air forms a continuous group. First the case of a single lens is treated. Here the concept of the middle point and its shift is introduced. Using this, the condition to form a group is obtained. Next, the case of
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GROUP-GEOMETRIC METHODS IN SUPERGRAVITY AND SUPERSTRING THEORIES
International Journal of Modern Physics A, 1992Summary: The purpose of these notes is to give a brief and pedagogical account of the group-geometric approach to (super)gravity and superstring theories. Full details can be found in the book written in collaboration with R. D'Auria and P. Fre [Supergravity and superstrings. A geometric perspective, Vol. 1, World Sci.
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Geometric Structures in Group Theory
The general subject of the conference was geometric group theory, that is the study of groups via suitable actions on spaces endowed with additional structures, for instance a distance, a measure (class), or both of them with natural compatibilities. The interactions with other mathematical fields such as algebraic topology (e.g.openaire +1 more source
Geometric Structures in Group Theory
2017Geometric group theory has natural connections and rich interfaces with many of the other major fields of modern mathematics. The basic motif of the field is the construction and exploration of actions by infinite groups on spaces that admit further structure, with an emphasis on geometric structures of different sorts: one usually seeks actions in ...
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Geometric and Cohomological Group Theory
2017This volume provides state-of-the-art accounts of exciting recent developments in the rapidly-expanding fields of geometric and cohomological group theory. The research articles and surveys collected here demonstrate connectsions to such diverse areas as geometric and low-dimensional topology, analysis, homological algebra and logic.
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